Local uniqueness of minimizers for Choquard type equations

被引：0

作者：

Liu, Lintao ^{[1
]}

Teng, Kaimin ^{[2
]}

Yuan, Shuai ^{[3
]}

机构：

[1] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

[2] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Shanxi, Peoples R China

[3] Hebei Normal Univ, Sch Math Sci, Shijiazhuang 050016, Hebei, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2025年 / 255卷

关键词：

Choquard type equations; Local uniqueness; Pohozaev identity; NORMALIZED SOLUTIONS; POSITIVE SOLUTIONS; GROUND-STATES; EXISTENCE; MULTIPLICITY; BEHAVIOR;

D O I：

10.1016/j.na.2025.113764

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider L-2-constraint minimizers of the Choquard energy functional with a trapping potential V(x) = |x|(2). It is known that positive minimizers exist if and only if the parameter a satisfies a < a* := ||Q||(2)(2), where Q is the unique positive radial solution of -Delta u + u - |u|(4/3) u = 0 in R-3. This paper focuses on the local uniqueness of minimizers by using energy estimates, blow-up analysis and establishing the Pohozaev identity.

引用

页数：20

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